3375634400 has 72 divisors (see below), whose sum is σ = 8282985480. Its totient is φ = 1343336960.

The previous prime is 3375634397. The next prime is 3375634417. The reversal of 3375634400 is 44365733.

It is a super-2 number, since 2×3375634400² = 22789815204926720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146891 + ... + 168309.

It is an arithmetic number, because the mean of its divisors is an integer number (115041465).

Almost surely, 2^3375634400 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 3375634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141492740).

3375634400 is an abundant number, since it is smaller than the sum of its proper divisors (4907351080).

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

3375634400 is a wasteful number, since it uses less digits than its factorization.

3375634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21636 (or 21623 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 35.

The square root of 3375634400 is about 58100.2099824088. The cubic root of 3375634400 is about 1500.0939792970.

The spelling of 3375634400 in words is "three billion, three hundred seventy-five million, six hundred thirty-four thousand, four hundred".