3362860800 has 540 divisors, whose sum is σ = 13417327000. Its totient is φ = 826122240.

The previous prime is 3362860799. The next prime is 3362860801. The reversal of 3362860800 is 80682633.

It is an interprime number because it is at equal distance from previous prime (3362860799) and next prime (3362860801).

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×3362860800² = 22617665520353280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362860801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6738951 + ... + 6739449.

Almost surely, 2^3362860800 is an apocalyptic number.

3362860800 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 3362860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708663500).

3362860800 is an abundant number, since it is smaller than the sum of its proper divisors (10054466200).

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

3362860800 is a wasteful number, since it uses less digits than its factorization.

3362860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 522 counting only the distinct ones).

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

The square root of 3362860800 is about 57990.1784787735. The cubic root of 3362860800 is about 1498.1994395194.

The spelling of 3362860800 in words is "three billion, three hundred sixty-two million, eight hundred sixty thousand, eight hundred".