37605983940 has 576 divisors, whose sum is σ = 144485752320. Its totient is φ = 8079160320.

The previous prime is 37605983911. The next prime is 37605983957. The reversal of 37605983940 is 4938950673.

37605983940 is a `hidden beast` number, since 3 + 7 + 6 + 0 + 598 + 3 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37122874 + ... + 37123886.

It is an arithmetic number, because the mean of its divisors is an integer number (250843320).

Almost surely, 2^37605983940 is an apocalyptic number.

37605983940 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 37605983940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72242876160).

37605983940 is an abundant number, since it is smaller than the sum of its proper divisors (106879768380).

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

37605983940 is a wasteful number, since it uses less digits than its factorization.

37605983940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 37605983940 in words is "thirty-seven billion, six hundred five million, nine hundred eighty-three thousand, nine hundred forty".