3375878400 has 648 divisors, whose sum is σ = 13047914880. Its totient is φ = 830914560.

The previous prime is 3375878381. The next prime is 3375878419. The reversal of 3375878400 is 48785733.

It is an interprime number because it is at equal distance from previous prime (3375878381) and next prime (3375878419).

It is a super-2 number, since 2×3375878400² = 22793109943173120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71827177 + ... + 71827223.

Almost surely, 2^3375878400 is an apocalyptic number.

3375878400 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 3375878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523957440).

3375878400 is an abundant number, since it is smaller than the sum of its proper divisors (9672036480).

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

3375878400 is a wasteful number, since it uses less digits than its factorization.

3375878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3375878400 is about 58102.3097647589. The cubic root of 3375878400 is about 1500.1301220452.

The spelling of 3375878400 in words is "three billion, three hundred seventy-five million, eight hundred seventy-eight thousand, four hundred".