3337420800 has 408 divisors, whose sum is σ = 12742198336. Its totient is φ = 754974720.

The previous prime is 3337420783. The next prime is 3337420829. The reversal of 3337420800 is 80247333.

It is a super-2 number, since 2×3337420800² = 22276755192545280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34406352 + ... + 34406448.

Almost surely, 2^3337420800 is an apocalyptic number.

3337420800 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 3337420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371099168).

3337420800 is an abundant number, since it is smaller than the sum of its proper divisors (9404777536).

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

3337420800 is an frugal number, since it uses more digits than its factorization.

3337420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 3337420800 is about 57770.4145735514. The cubic root of 3337420800 is about 1494.4119191978.

The spelling of 3337420800 in words is "three billion, three hundred thirty-seven million, four hundred twenty thousand, eight hundred".