3370814400 has 336 divisors, whose sum is σ = 11854464480. Its totient is φ = 835584000.

The previous prime is 3370814399. The next prime is 3370814437. The reversal of 3370814400 is 44180733.

It is a super-2 number, since 2×3370814400² = 22724779438494720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8241396 + ... + 8241804.

Almost surely, 2^3370814400 is an apocalyptic number.

3370814400 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 3370814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927232240).

3370814400 is an abundant number, since it is smaller than the sum of its proper divisors (8483650080).

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

3370814400 is a wasteful number, since it uses less digits than its factorization.

3370814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3370814400 is about 58058.7151080697. The cubic root of 3370814400 is about 1499.3796545942.

The spelling of 3370814400 in words is "three billion, three hundred seventy million, eight hundred fourteen thousand, four hundred".