3357613000 has 128 divisors (see below), whose sum is σ = 9199008000. Its totient is φ = 1123008000.

The previous prime is 3357612997. The next prime is 3357613019. The reversal of 3357613000 is 3167533.

It is a super-2 number, since 2×3357613000² = 22547130115538000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3357613000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281151 + ... + 292849.

It is an arithmetic number, because the mean of its divisors is an integer number (71867250).

Almost surely, 2^3357613000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3357613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599504000).

3357613000 is an abundant number, since it is smaller than the sum of its proper divisors (5841395000).

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

3357613000 is a wasteful number, since it uses less digits than its factorization.

3357613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11754 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 3357613000 is about 57944.9134954916. The cubic root of 3357613000 is about 1497.4197121028.

The spelling of 3357613000 in words is "three billion, three hundred fifty-seven million, six hundred thirteen thousand".