3966015690 has 512 divisors, whose sum is σ = 13872660480. Its totient is φ = 783820800.

The previous prime is 3966015671. The next prime is 3966015701. The reversal of 3966015690 is 965106693.

3966015690 is a `hidden beast` number, since 39 + 6 + 601 + 5 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×3966015690² = 31458560906652352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31228407 + ... + 31228533.

It is an arithmetic number, because the mean of its divisors is an integer number (27095040).

Almost surely, 2^3966015690 is an apocalyptic number.

3966015690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966015690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936330240).

3966015690 is an abundant number, since it is smaller than the sum of its proper divisors (9906644790).

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

3966015690 is a wasteful number, since it uses less digits than its factorization.

3966015690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3966015690 is about 62976.3105461093. The cubic root of 3966015690 is about 1582.8926992009.

The spelling of 3966015690 in words is "three billion, nine hundred sixty-six million, fifteen thousand, six hundred ninety".