34945652160 has 336 divisors, whose sum is σ = 122287905792. Its totient is φ = 9158400000.

The previous prime is 34945652143. The next prime is 34945652243. The reversal of 34945652160 is 6125654943.

34945652160 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 565 + 21 + 60 = 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, 46531785 + ... + 46532535.

Almost surely, 2^34945652160 is an apocalyptic number.

34945652160 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 34945652160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61143952896).

34945652160 is an abundant number, since it is smaller than the sum of its proper divisors (87342253632).

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

34945652160 is a wasteful number, since it uses less digits than its factorization.

34945652160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 34945652160 in words is "thirty-four billion, nine hundred forty-five million, six hundred fifty-two thousand, one hundred sixty".