37346772960 has 576 divisors, whose sum is σ = 150580684800. Its totient is φ = 8424299520.

The previous prime is 37346772959. The next prime is 37346772961. The reversal of 37346772960 is 6927764373.

It is a happy number.

37346772960 is a `hidden beast` number, since 3 + 7 + 346 + 7 + 7 + 296 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (37346772959) and next prime (37346772961).

It is a junction number, because it is equal to n+sod(n) for n = 37346772897 and 37346772906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37346772961) 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, 40994905 + ... + 40995815.

It is an arithmetic number, because the mean of its divisors is an integer number (261424800).

Almost surely, 2^37346772960 is an apocalyptic number.

37346772960 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 37346772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75290342400).

37346772960 is an abundant number, since it is smaller than the sum of its proper divisors (113233911840).

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

37346772960 is a wasteful number, since it uses less digits than its factorization.

37346772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 37346772960 in words is "thirty-seven billion, three hundred forty-six million, seven hundred seventy-two thousand, nine hundred sixty".