3357506460 has 576 divisors, whose sum is σ = 13105483776. Its totient is φ = 632217600.

The previous prime is 3357506393. The next prime is 3357506461. The reversal of 3357506460 is 646057533.

It is a super-2 number, since 2×3357506460² = 22545699257883463200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357506461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17043082 + ... + 17043278.

It is an arithmetic number, because the mean of its divisors is an integer number (22752576).

Almost surely, 2^3357506460 is an apocalyptic number.

3357506460 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 3357506460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552741888).

3357506460 is an abundant number, since it is smaller than the sum of its proper divisors (9747977316).

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

3357506460 is a wasteful number, since it uses less digits than its factorization.

3357506460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 39.

The square root of 3357506460 is about 57943.9941667814. The cubic root of 3357506460 is about 1497.4038737891.

The spelling of 3357506460 in words is "three billion, three hundred fifty-seven million, five hundred six thousand, four hundred sixty".