3361529640 has 256 divisors, whose sum is σ = 11983749120. Its totient is φ = 738155520.

The previous prime is 3361529621. The next prime is 3361529653. The reversal of 3361529640 is 469251633.

3361529640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3361529640² = 22599763041197059200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4348294 + ... + 4349066.

It is an arithmetic number, because the mean of its divisors is an integer number (46811520).

Almost surely, 2^3361529640 is an apocalyptic number.

3361529640 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 3361529640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991874560).

3361529640 is an abundant number, since it is smaller than the sum of its proper divisors (8622219480).

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

3361529640 is a wasteful number, since it uses less digits than its factorization.

3361529640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 3361529640 is about 57978.6998819394. The cubic root of 3361529640 is about 1498.0017302385.

The spelling of 3361529640 in words is "three billion, three hundred sixty-one million, five hundred twenty-nine thousand, six hundred forty".