3396151200 has 576 divisors, whose sum is σ = 13307898240. Its totient is φ = 743178240.

The previous prime is 3396151193. The next prime is 3396151211. The reversal of 3396151200 is 21516933.

It is a super-2 number, since 2×3396151200² = 23067685946522880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10077432 + ... + 10077768.

It is an arithmetic number, because the mean of its divisors is an integer number (23103990).

Almost surely, 2^3396151200 is an apocalyptic number.

3396151200 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 3396151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653949120).

3396151200 is an abundant number, since it is smaller than the sum of its proper divisors (9911747040).

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

3396151200 is a wasteful number, since it uses less digits than its factorization.

3396151200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 3396151200 is about 58276.5064155359. The cubic root of 3396151200 is about 1503.1269878792.

The spelling of 3396151200 in words is "three billion, three hundred ninety-six million, one hundred fifty-one thousand, two hundred".