3736507991040 has 1056 divisors, whose sum is σ = 14640508726272. Its totient is φ = 872939520000.

The previous prime is 3736507990993. The next prime is 3736507991063. The reversal of 3736507991040 is 401997056373.

It is a happy number.

3736507991040 is a `hidden beast` number, since 3 + 7 + 3 + 6 + 507 + 9 + 91 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×3736507991040² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6301024984 + ... + 6301025576.

It is an arithmetic number, because the mean of its divisors is an integer number (13864118112).

Almost surely, 2^{3736507991040} is an apocalyptic number.

3736507991040 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 3736507991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7320254363136).

3736507991040 is an abundant number, since it is smaller than the sum of its proper divisors (10904000735232).

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

3736507991040 is a wasteful number, since it uses less digits than its factorization.

3736507991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 3736507991040 in words is "three trillion, seven hundred thirty-six billion, five hundred seven million, nine hundred ninety-one thousand, forty".