3378648000 has 1008 divisors, whose sum is σ = 14879445984. Its totient is φ = 670924800.

The previous prime is 3378647957. The next prime is 3378648011. The reversal of 3378648000 is 8468733.

It is a super-2 number, since 2×3378648000² = 22830524615808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3378648000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198743992 + ... + 198744008.

Almost surely, 2^3378648000 is an apocalyptic number.

3378648000 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 3378648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7439722992).

3378648000 is an abundant number, since it is smaller than the sum of its proper divisors (11500797984).

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

3378648000 is a wasteful number, since it uses less digits than its factorization.

3378648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3378648000 is about 58126.1386985236. The cubic root of 3378648000 is about 1500.5402498412.

The spelling of 3378648000 in words is "three billion, three hundred seventy-eight million, six hundred forty-eight thousand".