3813089664 has 256 divisors, whose sum is σ = 11135854080. Its totient is φ = 1151434752.

The previous prime is 3813089653. The next prime is 3813089699. The reversal of 3813089664 is 4669803183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 35636299 + ... + 35636405.

It is an arithmetic number, because the mean of its divisors is an integer number (43499430).

Almost surely, 2^3813089664 is an apocalyptic number.

3813089664 is a gapful number since it is divisible by the number (34) 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 3813089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567927040).

3813089664 is an abundant number, since it is smaller than the sum of its proper divisors (7322764416).

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

3813089664 is a wasteful number, since it uses less digits than its factorization.

3813089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 3813089664 is about 61750.2199510253. The cubic root of 3813089664 is about 1562.2804779514.

The spelling of 3813089664 in words is "three billion, eight hundred thirteen million, eighty-nine thousand, six hundred sixty-four".