3386918400 has 240 divisors, whose sum is σ = 11271053904. Its totient is φ = 896532480.

The previous prime is 3386918393. The next prime is 3386918503. The reversal of 3386918400 is 48196833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3386918400² = 22942432496517120000, 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 23 ways as a sum of consecutive naturals, for example, 7410972 + ... + 7411428.

Almost surely, 2^3386918400 is an apocalyptic number.

3386918400 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 3386918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635526952).

3386918400 is an abundant number, since it is smaller than the sum of its proper divisors (7884135504).

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

3386918400 is a wasteful number, since it uses less digits than its factorization.

3386918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3386918400 is about 58197.2370478187. The cubic root of 3386918400 is about 1501.7636145188.

The spelling of 3386918400 in words is "three billion, three hundred eighty-six million, nine hundred eighteen thousand, four hundred".