38414505332736 has 2080 divisors, whose sum is σ = 137867504544000. Its totient is φ = 10544297803776.

The previous prime is 38414505332683. The next prime is 38414505332747. The reversal of 38414505332736 is 63723350541483.

38414505332736 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 4 + 50 + 533 + 27 + 36 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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, 167748931470 + ... + 167748931698.

Almost surely, 2^{38414505332736} is an apocalyptic number.

38414505332736 is a gapful number since it is divisible by the number (36) 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 38414505332736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68933752272000).

38414505332736 is an abundant number, since it is smaller than the sum of its proper divisors (99452999211264).

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

38414505332736 is a wasteful number, since it uses less digits than its factorization.

38414505332736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

It can be divided in two parts, 3841450 and 5332736, that added together give a triangular number (9174186 = T₄₂₈₃).

The spelling of 38414505332736 in words is "thirty-eight trillion, four hundred fourteen billion, five hundred five million, three hundred thirty-two thousand, seven hundred thirty-six".