3462800796 has 432 divisors, whose sum is σ = 11711831040. Its totient is φ = 853493760.

The previous prime is 3462800713. The next prime is 3462800819. The reversal of 3462800796 is 6970082643.

3462800796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27266085 + ... + 27266211.

It is an arithmetic number, because the mean of its divisors is an integer number (27110720).

Almost surely, 2^3462800796 is an apocalyptic number.

3462800796 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 3462800796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855915520).

3462800796 is an abundant number, since it is smaller than the sum of its proper divisors (8249030244).

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

3462800796 is a wasteful number, since it uses less digits than its factorization.

3462800796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3462800796 is about 58845.5673436836. The cubic root of 3462800796 is about 1512.8963306800.

The spelling of 3462800796 in words is "three billion, four hundred sixty-two million, eight hundred thousand, seven hundred ninety-six".