35972313660 has 144 divisors (see below), whose sum is σ = 112426554240. Its totient is φ = 9305902080.

The previous prime is 35972313653. The next prime is 35972313679. The reversal of 35972313660 is 6631327953.

35972313660 is a `hidden beast` number, since 3 + 59 + 7 + 231 + 366 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779101 + ... + 823979.

It is an arithmetic number, because the mean of its divisors is an integer number (780739960).

Almost surely, 2^35972313660 is an apocalyptic number.

35972313660 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 35972313660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56213277120).

35972313660 is an abundant number, since it is smaller than the sum of its proper divisors (76454240580).

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

35972313660 is a wasteful number, since it uses less digits than its factorization.

35972313660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45028 (or 45023 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 35972313660 in words is "thirty-five billion, nine hundred seventy-two million, three hundred thirteen thousand, six hundred sixty".