34408369408 has 72 divisors (see below), whose sum is σ = 78530316480. Its totient is φ = 14739640320.

The previous prime is 34408369399. The next prime is 34408369441. The reversal of 34408369408 is 80496380443.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6769428 + ... + 6774508.

It is an arithmetic number, because the mean of its divisors is an integer number (1090698840).

Almost surely, 2^34408369408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34408369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39265158240).

34408369408 is an abundant number, since it is smaller than the sum of its proper divisors (44121947072).

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

34408369408 is an equidigital number, since it uses as much as digits as its factorization.

34408369408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 34408369408 in words is "thirty-four billion, four hundred eight million, three hundred sixty-nine thousand, four hundred eight".