3369038400 has 672 divisors, whose sum is σ = 15133198080. Its totient is φ = 710000640.

The previous prime is 3369038399. The next prime is 3369038411. The reversal of 3369038400 is 48309633.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3369038400² = 22700839481349120000, 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, 3930772 + ... + 3931628.

It is an arithmetic number, because the mean of its divisors is an integer number (22519640).

Almost surely, 2^3369038400 is an apocalyptic number.

3369038400 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 3369038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566599040).

3369038400 is an abundant number, since it is smaller than the sum of its proper divisors (11764159680).

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

3369038400 is a wasteful number, since it uses less digits than its factorization.

3369038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3369038400 is about 58043.4182315273. The cubic root of 3369038400 is about 1499.1162794609.

The spelling of 3369038400 in words is "three billion, three hundred sixty-nine million, thirty-eight thousand, four hundred".