34401484920 has 384 divisors, whose sum is σ = 123499468800. Its totient is φ = 7593369600.

The previous prime is 34401484879. The next prime is 34401484927. The reversal of 34401484920 is 2948410443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34401484927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11824426 + ... + 11827334.

It is an arithmetic number, because the mean of its divisors is an integer number (321613200).

Almost surely, 2^34401484920 is an apocalyptic number.

34401484920 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 34401484920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61749734400).

34401484920 is an abundant number, since it is smaller than the sum of its proper divisors (89097983880).

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

34401484920 is a wasteful number, since it uses less digits than its factorization.

34401484920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 34401484920 in words is "thirty-four billion, four hundred one million, four hundred eighty-four thousand, nine hundred twenty".