38700840 has 128 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 9523200.

The previous prime is 38700839. The next prime is 38700863. The reversal of 38700840 is 4800783.

It is a Cunningham number, because it is equal to 6221²-1.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38700798 and 38700807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124285 + ... + 124595.

It is an arithmetic number, because the mean of its divisors is an integer number (979290).

Almost surely, 2^38700840 is an apocalyptic number.

38700840 is a gapful number since it is divisible by the number (30) 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 38700840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

38700840 is an abundant number, since it is smaller than the sum of its proper divisors (86648280).

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

38700840 is a wasteful number, since it uses less digits than its factorization.

38700840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38700840 is about 6220.9999196271. Note that the first 4 decimals coincide. The cubic root of 38700840 is about 338.2518109996.

The spelling of 38700840 in words is "thirty-eight million, seven hundred thousand, eight hundred forty".