3690082944 has 192 divisors, whose sum is σ = 10847528640. Its totient is φ = 1203867648.

The previous prime is 3690082919. The next prime is 3690082987. The reversal of 3690082944 is 4492800963.

3690082944 = T₇₂₇₁ + T₇₂₇₂ + ... + T₇₄₀₇.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 3690082944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16255759 + ... + 16255985.

It is an arithmetic number, because the mean of its divisors is an integer number (56497545).

Almost surely, 2^3690082944 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 3690082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423764320).

3690082944 is an abundant number, since it is smaller than the sum of its proper divisors (7157445696).

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

3690082944 is a wasteful number, since it uses less digits than its factorization.

3690082944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3690082944 is about 60746.0529088105. The cubic root of 3690082944 is about 1545.2972890703.

The spelling of 3690082944 in words is "three billion, six hundred ninety million, eighty-two thousand, nine hundred forty-four".