3360734400 has 168 divisors, whose sum is σ = 11213835840. Its totient is φ = 880931840.

The previous prime is 3360734393. The next prime is 3360734407. The reversal of 3360734400 is 44370633.

It is an interprime number because it is at equal distance from previous prime (3360734393) and next prime (3360734407).

It is a super-2 number, since 2×3360734400² = 22589071414686720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3360734407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277267 + ... + 289133.

Almost surely, 2^3360734400 is an apocalyptic number.

3360734400 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 3360734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606917920).

3360734400 is an abundant number, since it is smaller than the sum of its proper divisors (7853101440).

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

3360734400 is a wasteful number, since it uses less digits than its factorization.

3360734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951 (or 11936 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 3360734400 is about 57971.8414404787. The cubic root of 3360734400 is about 1497.8835930633.

The spelling of 3360734400 in words is "three billion, three hundred sixty million, seven hundred thirty-four thousand, four hundred".