38405283840 has 1344 divisors, whose sum is σ = 175709640960. Its totient is φ = 7785676800.

The previous prime is 38405283823. The next prime is 38405283869. The reversal of 38405283840 is 4838250483.

38405283840 is a `hidden beast` number, since 3 + 8 + 40 + 528 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 936714220 + ... + 936714260.

It is an arithmetic number, because the mean of its divisors is an integer number (130736340).

Almost surely, 2^38405283840 is an apocalyptic number.

38405283840 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 38405283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87854820480).

38405283840 is an abundant number, since it is smaller than the sum of its proper divisors (137304357120).

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

38405283840 is a wasteful number, since it uses less digits than its factorization.

38405283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 38405283840 in words is "thirty-eight billion, four hundred five million, two hundred eighty-three thousand, eight hundred forty".