37795425408 has 192 divisors, whose sum is σ = 120293791800. Its totient is φ = 11314888704.

The previous prime is 37795425397. The next prime is 37795425413. The reversal of 37795425408 is 80452459773.

It is a happy number.

37795425408 is a `hidden beast` number, since 3 + 7 + 7 + 95 + 4 + 2 + 540 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32772585024 + 5022840384 = 181032^2 + 70872^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520008 + ... + 588216.

Almost surely, 2^37795425408 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 37795425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60146895900).

37795425408 is an abundant number, since it is smaller than the sum of its proper divisors (82498366392).

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

37795425408 is a wasteful number, since it uses less digits than its factorization.

37795425408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68279 (or 68264 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

It can be divided in two parts, 37795 and 425408, that added together give a triangular number (463203 = T₉₆₂).

The spelling of 37795425408 in words is "thirty-seven billion, seven hundred ninety-five million, four hundred twenty-five thousand, four hundred eight".