38807778240 has 672 divisors, whose sum is σ = 172012538880. Its totient is φ = 8062433280.

The previous prime is 38807778193. The next prime is 38807778241. The reversal of 38807778240 is 4287770883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38807778241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7315429 + ... + 7320731.

It is an arithmetic number, because the mean of its divisors is an integer number (255971040).

Almost surely, 2^38807778240 is an apocalyptic number.

38807778240 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 38807778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86006269440).

38807778240 is an abundant number, since it is smaller than the sum of its proper divisors (133204760640).

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

38807778240 is a wasteful number, since it uses less digits than its factorization.

38807778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 38807778240 in words is "thirty-eight billion, eight hundred seven million, seven hundred seventy-eight thousand, two hundred forty".