3316838400 has 468 divisors, whose sum is σ = 12279619560. Its totient is φ = 855244800.

The previous prime is 3316838389. The next prime is 3316838419. The reversal of 3316838400 is 48386133.

It is a happy number.

It is a super-2 number, since 2×3316838400² = 22002833943429120000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54374370 + ... + 54374430.

Almost surely, 2^3316838400 is an apocalyptic number.

3316838400 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 3316838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139809780).

3316838400 is an abundant number, since it is smaller than the sum of its proper divisors (8962781160).

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

3316838400 is a wasteful number, since it uses less digits than its factorization.

3316838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3316838400 is about 57591.9994443673. Note that the first 3 decimals coincide. The cubic root of 3316838400 is about 1491.3334908464. Note that the first 3 decimals are identical.

The spelling of 3316838400 in words is "three billion, three hundred sixteen million, eight hundred thirty-eight thousand, four hundred".