37540859920 has 80 divisors (see below), whose sum is σ = 88100722800. Its totient is φ = 14876116992.

The previous prime is 37540859903. The next prime is 37540859957. The reversal of 37540859920 is 2995804573.

It can be written as a sum of positive squares in 8 ways, for example, as 3565522944 + 33975336976 = 59712^2 + 184324^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4728274 + ... + 4736206.

It is an arithmetic number, because the mean of its divisors is an integer number (1101259035).

Almost surely, 2^37540859920 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 37540859920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44050361400).

37540859920 is an abundant number, since it is smaller than the sum of its proper divisors (50559862880).

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

37540859920 is a wasteful number, since it uses less digits than its factorization.

37540859920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8492 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 37540859920 in words is "thirty-seven billion, five hundred forty million, eight hundred fifty-nine thousand, nine hundred twenty".