38401123782076 has 72 divisors (see below), whose sum is σ = 78079677984000. Its totient is φ = 16467178321440.

The previous prime is 38401123782001. The next prime is 38401123782101. The reversal of 38401123782076 is 67028732110483.

It is a super-3 number, since 3×38401123782076³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6538246 + ... + 10933933.

It is an arithmetic number, because the mean of its divisors is an integer number (1084439972000).

Almost surely, 2^{38401123782076} is an apocalyptic number.

It is an amenable number.

38401123782076 is an abundant number, since it is smaller than the sum of its proper divisors (39678554201924).

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

38401123782076 is a wasteful number, since it uses less digits than its factorization.

38401123782076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17472463 (or 17472450 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 38401123782076 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-three million, seven hundred eighty-two thousand, seventy-six".