3402879480 has 1152 divisors, whose sum is σ = 16133644800. Its totient is φ = 609638400.

The previous prime is 3402879437. The next prime is 3402879497. The reversal of 3402879480 is 849782043.

3402879480 is a `hidden beast` number, since 3 + 402 + 87 + 94 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47927845 + ... + 47927915.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^3402879480 is an apocalyptic number.

3402879480 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 3402879480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066822400).

3402879480 is an abundant number, since it is smaller than the sum of its proper divisors (12730765320).

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

3402879480 is a wasteful number, since it uses less digits than its factorization.

3402879480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3402879480 is about 58334.2050601532. The cubic root of 3402879480 is about 1504.1189723582.

The spelling of 3402879480 in words is "three billion, four hundred two million, eight hundred seventy-nine thousand, four hundred eighty".