3693850648992 has 480 divisors, whose sum is σ = 12857272331904. Its totient is φ = 1018481817600.

The previous prime is 3693850648973. The next prime is 3693850648993. The reversal of 3693850648992 is 2998460583963.

3693850648992 is a `hidden beast` number, since 3 + 6 + 9 + 3 + 8 + 50 + 6 + 489 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3693850648992.

It is not an unprimeable number, because it can be changed into a prime (3693850648993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58628067 + ... + 58691037.

Almost surely, 2^{3693850648992} is an apocalyptic number.

3693850648992 is a gapful number since it is divisible by the number (32) 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 3693850648992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428636165952).

3693850648992 is an abundant number, since it is smaller than the sum of its proper divisors (9163421682912).

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

3693850648992 is a wasteful number, since it uses less digits than its factorization.

3693850648992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63114 (or 63097 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 3693850648992 in words is "three trillion, six hundred ninety-three billion, eight hundred fifty million, six hundred forty-eight thousand, nine hundred ninety-two".