3370802400 has 432 divisors, whose sum is σ = 13883111424. Its totient is φ = 753546240.

The previous prime is 3370802399. The next prime is 3370802431. The reversal of 3370802400 is 42080733.

It is a super-2 number, since 2×3370802400² = 22724617639691520000, 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 71 ways as a sum of consecutive naturals, for example, 2368089 + ... + 2369511.

It is an arithmetic number, because the mean of its divisors is an integer number (32136832).

Almost surely, 2^3370802400 is an apocalyptic number.

3370802400 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 3370802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941555712).

3370802400 is an abundant number, since it is smaller than the sum of its proper divisors (10512309024).

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

3370802400 is a wasteful number, since it uses less digits than its factorization.

3370802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3370802400 is about 58058.6117643197. The cubic root of 3370802400 is about 1499.3778753429.

The spelling of 3370802400 in words is "three billion, three hundred seventy million, eight hundred two thousand, four hundred".