37812928631040 has 864 divisors, whose sum is σ = 136954506264576. Its totient is φ = 9624483348480.

The previous prime is 37812928631039. The next prime is 37812928631047. The reversal of 37812928631040 is 4013682921873.

It is a happy number.

37812928631040 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 2 + 9 + 286 + 310 + 40 = 666.

It is a super-2 number, since 2×37812928631040² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37812928631047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4215013755 + ... + 4215022725.

Almost surely, 2^{37812928631040} is an apocalyptic number.

37812928631040 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 37812928631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68477253132288).

37812928631040 is an abundant number, since it is smaller than the sum of its proper divisors (99141577633536).

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

37812928631040 is a wasteful number, since it uses less digits than its factorization.

37812928631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 37812928631040 in words is "thirty-seven trillion, eight hundred twelve billion, nine hundred twenty-eight million, six hundred thirty-one thousand, forty".