34451413920 has 1152 divisors, whose sum is σ = 158789030400. Its totient is φ = 6719569920.

The previous prime is 34451413891. The next prime is 34451413951. The reversal of 34451413920 is 2931415443.

34451413920 is a `hidden beast` number, since 3 + 4 + 4 + 514 + 139 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92362854 + ... + 92363226.

It is an arithmetic number, because the mean of its divisors is an integer number (137837700).

Almost surely, 2^34451413920 is an apocalyptic number.

34451413920 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 34451413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79394515200).

34451413920 is an abundant number, since it is smaller than the sum of its proper divisors (124337616480).

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

34451413920 is a wasteful number, since it uses less digits than its factorization.

34451413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 34451413920 in words is "thirty-four billion, four hundred fifty-one million, four hundred thirteen thousand, nine hundred twenty".