3736478638968 has 64 divisors (see below), whose sum is σ = 9850815120000. Its totient is φ = 1177783431552.

The previous prime is 3736478638939. The next prime is 3736478639021. The reversal of 3736478638968 is 8698368746373.

It is a super-2 number, since 2×3736478638968² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3736478638893 and 3736478638902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7240543 + ... + 7739406.

It is an arithmetic number, because the mean of its divisors is an integer number (153918986250).

Almost surely, 2^{3736478638968} is an apocalyptic number.

3736478638968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3736478638968 is an abundant number, since it is smaller than the sum of its proper divisors (6114336481032).

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

3736478638968 is a wasteful number, since it uses less digits than its factorization.

3736478638968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14980524 (or 14980520 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 78.

The spelling of 3736478638968 in words is "three trillion, seven hundred thirty-six billion, four hundred seventy-eight million, six hundred thirty-eight thousand, nine hundred sixty-eight".