3373601400 has 480 divisors, whose sum is σ = 12836522160. Its totient is φ = 816168960.

The previous prime is 3373601369. The next prime is 3373601447. The reversal of 3373601400 is 41063733.

It is a happy number.

It is a super-2 number, since 2×3373601400² = 22762372812163920000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17479704 + ... + 17479896.

Almost surely, 2^3373601400 is an apocalyptic number.

3373601400 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 3373601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6418261080).

3373601400 is an abundant number, since it is smaller than the sum of its proper divisors (9462920760).

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

3373601400 is a wasteful number, since it uses less digits than its factorization.

3373601400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3373601400 is about 58082.7117135555. The cubic root of 3373601400 is about 1499.7927713722.

The spelling of 3373601400 in words is "three billion, three hundred seventy-three million, six hundred one thousand, four hundred".