3402497280 has 648 divisors, whose sum is σ = 13815984672. Its totient is φ = 711180288.

The previous prime is 3402497237. The next prime is 3402497281. The reversal of 3402497280 is 827942043.

3402497280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402497281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31798987 + ... + 31799093.

It is an arithmetic number, because the mean of its divisors is an integer number (21320964).

Almost surely, 2^3402497280 is an apocalyptic number.

3402497280 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 3402497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907992336).

3402497280 is an abundant number, since it is smaller than the sum of its proper divisors (10413487392).

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

3402497280 is a wasteful number, since it uses less digits than its factorization.

3402497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3402497280 is about 58330.9290171175. The cubic root of 3402497280 is about 1504.0626577186.

The spelling of 3402497280 in words is "three billion, four hundred two million, four hundred ninety-seven thousand, two hundred eighty".