3410913660 has 384 divisors, whose sum is σ = 12739700736. Its totient is φ = 660111360.

The previous prime is 3410913641. The next prime is 3410913683. The reversal of 3410913660 is 663190143.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10759822 + ... + 10760138.

It is an arithmetic number, because the mean of its divisors is an integer number (33176304).

Almost surely, 2^3410913660 is an apocalyptic number.

3410913660 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 3410913660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369850368).

3410913660 is an abundant number, since it is smaller than the sum of its proper divisors (9328787076).

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

3410913660 is a wasteful number, since it uses less digits than its factorization.

3410913660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3410913660 is about 58403.0278324677. The cubic root of 3410913660 is about 1505.3017808904.

The spelling of 3410913660 in words is "three billion, four hundred ten million, nine hundred thirteen thousand, six hundred sixty".