34408516290120 has 384 divisors, whose sum is σ = 128464305315840. Its totient is φ = 7824144222720.

The previous prime is 34408516290107. The next prime is 34408516290139. The reversal of 34408516290120 is 2109261580443.

34408516290120 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 8 + 5 + 1 + 629 + 0 + 12 + 0 = 666.

It is a super-2 number, since 2×34408516290120² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1352151237 + ... + 1352176683.

It is an arithmetic number, because the mean of its divisors is an integer number (334542461760).

Almost surely, 2^{34408516290120} is an apocalyptic number.

34408516290120 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 34408516290120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64232152657920).

34408516290120 is an abundant number, since it is smaller than the sum of its proper divisors (94055789025720).

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

34408516290120 is a wasteful number, since it uses less digits than its factorization.

34408516290120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28225 (or 28218 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 34408516290120 in words is "thirty-four trillion, four hundred eight billion, five hundred sixteen million, two hundred ninety thousand, one hundred twenty".