3373725600 has 576 divisors, whose sum is σ = 14241588480. Its totient is φ = 754790400.

The previous prime is 3373725577. The next prime is 3373725617. The reversal of 3373725600 is 65273733.

It is a happy number.

3373725600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3373725600² = 22764048848190720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8013390 + ... + 8013810.

It is an arithmetic number, because the mean of its divisors is an integer number (24724980).

Almost surely, 2^3373725600 is an apocalyptic number.

3373725600 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 3373725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7120794240).

3373725600 is an abundant number, since it is smaller than the sum of its proper divisors (10867862880).

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

3373725600 is a wasteful number, since it uses less digits than its factorization.

3373725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The square root of 3373725600 is about 58083.7808686728. The cubic root of 3373725600 is about 1499.8111762314.

The spelling of 3373725600 in words is "three billion, three hundred seventy-three million, seven hundred twenty-five thousand, six hundred".