3356424000 has 448 divisors, whose sum is σ = 12647980800. Its totient is φ = 870912000.

The previous prime is 3356423989. The next prime is 3356424059. The reversal of 3356424000 is 4246533.

It is a super-2 number, since 2×3356424000² = 22531164135552000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8855811 + ... + 8856189.

It is an arithmetic number, because the mean of its divisors is an integer number (28232100).

Almost surely, 2^3356424000 is an apocalyptic number.

3356424000 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 3356424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323990400).

3356424000 is an abundant number, since it is smaller than the sum of its proper divisors (9291556800).

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

3356424000 is a wasteful number, since it uses less digits than its factorization.

3356424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3356424000 is about 57934.6528426640. The cubic root of 3356424000 is about 1497.2429355017.

The spelling of 3356424000 in words is "three billion, three hundred fifty-six million, four hundred twenty-four thousand".