396752035680 has 2880 divisors, whose sum is σ = 2034012036672. Its totient is φ = 71345111040.

The previous prime is 396752035643. The next prime is 396752035681. The reversal of 396752035680 is 86530257693.

It is a happy number.

396752035680 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 520 + 35 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396752035681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1543782112 + ... + 1543782368.

Almost surely, 2^396752035680 is an apocalyptic number.

396752035680 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 396752035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017006018336).

396752035680 is an abundant number, since it is smaller than the sum of its proper divisors (1637260000992).

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

396752035680 is a wasteful number, since it uses less digits than its factorization.

396752035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 396752035680 in words is "three hundred ninety-six billion, seven hundred fifty-two million, thirty-five thousand, six hundred eighty".