3369605400 has 384 divisors, whose sum is σ = 13415808000. Its totient is φ = 761425920.

The previous prime is 3369605353. The next prime is 3369605417. The reversal of 3369605400 is 45069633.

3369605400 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 605 + 40 + 0 = 666.

It is a super-2 number, since 2×3369605400² = 22708481103418320000, which contains 22 as substring.

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

It is a congruent number.

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, 3666141 + ... + 3667059.

It is an arithmetic number, because the mean of its divisors is an integer number (34937000).

Almost surely, 2^3369605400 is an apocalyptic number.

3369605400 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 3369605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707904000).

3369605400 is an abundant number, since it is smaller than the sum of its proper divisors (10046202600).

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

3369605400 is a wasteful number, since it uses less digits than its factorization.

3369605400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3369605400 is about 58048.3023007564. The cubic root of 3369605400 is about 1499.2003738077.

The spelling of 3369605400 in words is "three billion, three hundred sixty-nine million, six hundred five thousand, four hundred".