3357204480 has 336 divisors, whose sum is σ = 13310335584. Its totient is φ = 766771200.

The previous prime is 3357204463. The next prime is 3357204497. The reversal of 3357204480 is 844027533.

It is a happy number.

3357204480 is a `hidden beast` number, since 3 + 3 + 572 + 0 + 4 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3357204463) and next prime (3357204497).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3357204480² = 22541643841064140800, 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 23 ways as a sum of consecutive naturals, for example, 2579830 + ... + 2581130.

It is an arithmetic number, because the mean of its divisors is an integer number (39614094).

Almost surely, 2^3357204480 is an apocalyptic number.

3357204480 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 3357204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655167792).

3357204480 is an abundant number, since it is smaller than the sum of its proper divisors (9953131104).

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

3357204480 is a wasteful number, since it uses less digits than its factorization.

3357204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3357204480 is about 57941.3883161251. The cubic root of 3357204480 is about 1497.3589794025.

The spelling of 3357204480 in words is "three billion, three hundred fifty-seven million, two hundred four thousand, four hundred eighty".