35474872320 has 384 divisors, whose sum is σ = 130201344000. Its totient is φ = 9152593920.

The previous prime is 35474872313. The next prime is 35474872331. The reversal of 35474872320 is 2327847453.

35474872320 is a `hidden beast` number, since 3 + 547 + 4 + 8 + 72 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×35474872320² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 8568811 + ... + 8572949.

It is an arithmetic number, because the mean of its divisors is an integer number (339066000).

Almost surely, 2^35474872320 is an apocalyptic number.

35474872320 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 35474872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100672000).

35474872320 is an abundant number, since it is smaller than the sum of its proper divisors (94726471680).

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

35474872320 is a wasteful number, since it uses less digits than its factorization.

35474872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 35474872320 in words is "thirty-five billion, four hundred seventy-four million, eight hundred seventy-two thousand, three hundred twenty".