34946672640 has 384 divisors, whose sum is σ = 128408716800. Its totient is φ = 8024555520.

The previous prime is 34946672611. The next prime is 34946672687. The reversal of 34946672640 is 4627664943.

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

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, 6417759 + ... + 6423201.

It is an arithmetic number, because the mean of its divisors is an integer number (334397700).

Almost surely, 2^34946672640 is an apocalyptic number.

34946672640 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 34946672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64204358400).

34946672640 is an abundant number, since it is smaller than the sum of its proper divisors (93462044160).

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

34946672640 is a wasteful number, since it uses less digits than its factorization.

34946672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 34946672640 in words is "thirty-four billion, nine hundred forty-six million, six hundred seventy-two thousand, six hundred forty".