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3746229696 = 2633112192341
BaseRepresentation
bin1101111101001010…
…1110110111000000
3100200002012012001000
43133102232313000
530133013322241
61415422412000
7161556266316
oct33722566700
910602165030
103746229696
111652715900
12886731000
1347918bb81
142777760b6
1516dd48eb6
hexdf4aedc0

3746229696 has 672 divisors, whose sum is σ = 13620902400. Its totient is φ = 1003622400.

The previous prime is 3746229679. The next prime is 3746229709. The reversal of 3746229696 is 6969226473.

3746229696 is a `hidden beast` number, since 3 + 7 + 4 + 622 + 9 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5878656) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91371436 + ... + 91371476.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 23746229696 is an apocalyptic number.

3746229696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810451200).

3746229696 is an abundant number, since it is smaller than the sum of its proper divisors (9874672704).

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

3746229696 is a wasteful number, since it uses less digits than its factorization.

3746229696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3746229696 is about 61206.4514246660. The cubic root of 3746229696 is about 1553.0954023301.

The spelling of 3746229696 in words is "three billion, seven hundred forty-six million, two hundred twenty-nine thousand, six hundred ninety-six".