3407802048 has 336 divisors, whose sum is σ = 11982297600. Its totient is φ = 903831552.

The previous prime is 3407802023. The next prime is 3407802053. The reversal of 3407802048 is 8402087043.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3407802048² = 23226229596705988608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5688853 + ... + 5689451.

It is an arithmetic number, because the mean of its divisors is an integer number (35661600).

Almost surely, 2^3407802048 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 3407802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

3407802048 is an abundant number, since it is smaller than the sum of its proper divisors (8574495552).

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

3407802048 is a wasteful number, since it uses less digits than its factorization.

3407802048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3407802048 is about 58376.3826217418. The cubic root of 3407802048 is about 1504.8439035612.

The spelling of 3407802048 in words is "three billion, four hundred seven million, eight hundred two thousand, forty-eight".