3402642816 has 320 divisors, whose sum is σ = 11137420800. Its totient is φ = 1026432000.

The previous prime is 3402642811. The next prime is 3402642823. The reversal of 3402642816 is 6182462043.

3402642816 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 642 + 8 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402642811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4530441 + ... + 4531191.

It is an arithmetic number, because the mean of its divisors is an integer number (34804440).

Almost surely, 2^3402642816 is an apocalyptic number.

3402642816 is a gapful number since it is divisible by the number (36) 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 3402642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568710400).

3402642816 is an abundant number, since it is smaller than the sum of its proper divisors (7734777984).

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

3402642816 is a wasteful number, since it uses less digits than its factorization.

3402642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3402642816 is about 58332.1765066245. The cubic root of 3402642816 is about 1504.0841019818.

The spelling of 3402642816 in words is "three billion, four hundred two million, six hundred forty-two thousand, eight hundred sixteen".