3338604360 has 384 divisors, whose sum is σ = 13443655680. Its totient is φ = 699715584.

The previous prime is 3338604341. The next prime is 3338604371. The reversal of 3338604360 is 634068333.

It is a happy number.

It is a super-2 number, since 2×3338604360² = 22292558145222019200, which contains 22 as substring.

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

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, 7305252 + ... + 7305708.

It is an arithmetic number, because the mean of its divisors is an integer number (35009520).

Almost surely, 2^3338604360 is an apocalyptic number.

3338604360 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 3338604360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721827840).

3338604360 is an abundant number, since it is smaller than the sum of its proper divisors (10105051320).

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

3338604360 is a wasteful number, since it uses less digits than its factorization.

3338604360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3338604360 is about 57780.6573171334. The cubic root of 3338604360 is about 1494.5885543137.

The spelling of 3338604360 in words is "three billion, three hundred thirty-eight million, six hundred four thousand, three hundred sixty".