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3698816 = 27113771
BaseRepresentation
bin1110000111000010000000
320221220211012
432013002000
51421330231
6211140052
743303502
oct16070200
96856735
103698816
1120a6a80
1212a4628
139c6764
146c3d72
154d0e2b
hex387080

3698816 has 64 divisors (see below), whose sum is σ = 8372160. Its totient is φ = 1612800.

The previous prime is 3698801. The next prime is 3698819. The reversal of 3698816 is 6188963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3698819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52061 + ... + 52131.

It is an arithmetic number, because the mean of its divisors is an integer number (130815).

Almost surely, 23698816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3698816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186080).

3698816 is an abundant number, since it is smaller than the sum of its proper divisors (4673344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3698816 is a wasteful number, since it uses less digits than its factorization.

3698816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its digits is 62208, while the sum is 41.

The square root of 3698816 is about 1923.2306153969. The cubic root of 3698816 is about 154.6515376931.

The spelling of 3698816 in words is "three million, six hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 71 74 88 128 142 148 176 284 296 352 407 568 592 704 781 814 1136 1184 1408 1562 1628 2272 2368 2627 3124 3256 4544 4736 5254 6248 6512 9088 10508 12496 13024 21016 24992 26048 28897 42032 49984 52096 57794 84064 99968 115588 168128 231176 336256 462352 924704 1849408 3698816