34923404880 has 640 divisors, whose sum is σ = 149323776000. Its totient is φ = 7305209856.

The previous prime is 34923404743. The next prime is 34923404881. The reversal of 34923404880 is 8840432943.

34923404880 is a `hidden beast` number, since 3 + 492 + 3 + 40 + 48 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34923404881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24962421 + ... + 24963819.

It is an arithmetic number, because the mean of its divisors is an integer number (233318400).

Almost surely, 2^34923404880 is an apocalyptic number.

34923404880 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 34923404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74661888000).

34923404880 is an abundant number, since it is smaller than the sum of its proper divisors (114400371120).

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

34923404880 is a wasteful number, since it uses less digits than its factorization.

34923404880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 34923404880 in words is "thirty-four billion, nine hundred twenty-three million, four hundred four thousand, eight hundred eighty".