3362990400 has 840 divisors, whose sum is σ = 15457480896. Its totient is φ = 696729600.

The previous prime is 3362990369. The next prime is 3362990413. The reversal of 3362990400 is 40992633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×3362990400² = 22619408860984320000, 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 119 ways as a sum of consecutive naturals, for example, 9979032 + ... + 9979368.

Almost surely, 2^3362990400 is an apocalyptic number.

3362990400 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 3362990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728740448).

3362990400 is an abundant number, since it is smaller than the sum of its proper divisors (12094490496).

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

3362990400 is a wasteful number, since it uses less digits than its factorization.

3362990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3362990400 is about 57991.2958986088. The cubic root of 3362990400 is about 1498.2186854497.

The spelling of 3362990400 in words is "three billion, three hundred sixty-two million, nine hundred ninety thousand, four hundred".