3690951264 has 864 divisors, whose sum is σ = 15058068480. Its totient is φ = 841881600.

The previous prime is 3690951223. The next prime is 3690951281. The reversal of 3690951264 is 4621590963.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62558467 + ... + 62558525.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 2^3690951264 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 3690951264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

3690951264 is an abundant number, since it is smaller than the sum of its proper divisors (11367117216).

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

3690951264 is a wasteful number, since it uses less digits than its factorization.

3690951264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3690951264 is about 60753.1996194439. The cubic root of 3690951264 is about 1545.4184884514.

The spelling of 3690951264 in words is "three billion, six hundred ninety million, nine hundred fifty-one thousand, two hundred sixty-four".