3936007520640 has 1280 divisors, whose sum is σ = 16103496024000. Its totient is φ = 908121341952.

The previous prime is 3936007520629. The next prime is 3936007520651. The reversal of 3936007520640 is 460257006393.

3936007520640 is a `hidden beast` number, since 3 + 9 + 3 + 60 + 0 + 7 + 520 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3936007520629) and next prime (3936007520651).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1242032976 + ... + 1242036144.

Almost surely, 2^{3936007520640} is an apocalyptic number.

3936007520640 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 3936007520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051748012000).

3936007520640 is an abundant number, since it is smaller than the sum of its proper divisors (12167488503360).

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

3936007520640 is a wasteful number, since it uses less digits than its factorization.

3936007520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3936007520640 in words is "three trillion, nine hundred thirty-six billion, seven million, five hundred twenty thousand, six hundred forty".