3360302400 has 672 divisors, whose sum is σ = 13933830400. Its totient is φ = 704471040.

The previous prime is 3360302383. The next prime is 3360302411. The reversal of 3360302400 is 42030633.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3360302400² = 22583264438891520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 21403122 + ... + 21403278.

Almost surely, 2^3360302400 is an apocalyptic number.

3360302400 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 3360302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966915200).

3360302400 is an abundant number, since it is smaller than the sum of its proper divisors (10573528000).

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

3360302400 is a wasteful number, since it uses less digits than its factorization.

3360302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3360302400 is about 57968.1153738846. The cubic root of 3360302400 is about 1497.8194093301.

The spelling of 3360302400 in words is "three billion, three hundred sixty million, three hundred two thousand, four hundred".