34946305232832 has 560 divisors, whose sum is σ = 125438245244928. Its totient is φ = 9391068979200.

The previous prime is 34946305232809. The next prime is 34946305232837. The reversal of 34946305232832 is 23823250364943.

34946305232832 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 6 + 30 + 523 + 2 + 83 + 2 = 666.

It is a super-2 number, since 2×34946305232832² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34946305232837) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 966657957 + ... + 966694107.

Almost surely, 2^{34946305232832} is an apocalyptic number.

34946305232832 is a gapful number since it is divisible by the number (32) 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 34946305232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62719122622464).

34946305232832 is an abundant number, since it is smaller than the sum of its proper divisors (90491940012096).

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

34946305232832 is a wasteful number, since it uses less digits than its factorization.

34946305232832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37766 (or 37747 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 34946305232832 in words is "thirty-four trillion, nine hundred forty-six billion, three hundred five million, two hundred thirty-two thousand, eight hundred thirty-two".