3358681600 has 120 divisors (see below), whose sum is σ = 8361956988. Its totient is φ = 1336934400.

The previous prime is 3358681597. The next prime is 3358681631. The reversal of 3358681600 is 61868533.

It can be written as a sum of positive squares in 6 ways, for example, as 2423789824 + 934891776 = 49232^2 + 30576^2 .

It is a super-2 number, since 2×3358681600² = 22561484180357120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3289090 + ... + 3290110.

Almost surely, 2^3358681600 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 3358681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180978494).

3358681600 is an abundant number, since it is smaller than the sum of its proper divisors (5003275388).

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

3358681600 is a wasteful number, since it uses less digits than its factorization.

3358681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 3358681600 is about 57954.1335885543. The cubic root of 3358681600 is about 1497.5785524237.

The spelling of 3358681600 in words is "three billion, three hundred fifty-eight million, six hundred eighty-one thousand, six hundred".