38454726240 has 1536 divisors, whose sum is σ = 178362777600. Its totient is φ = 7524679680.

The previous prime is 38454726229. The next prime is 38454726251. The reversal of 38454726240 is 4262745483.

It is a happy number.

38454726240 is a `hidden beast` number, since 3 + 8 + 4 + 547 + 2 + 62 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (38454726229) and next prime (38454726251).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 302793057 + ... + 302793183.

It is an arithmetic number, because the mean of its divisors is an integer number (116121600).

Almost surely, 2^38454726240 is an apocalyptic number.

38454726240 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 38454726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89181388800).

38454726240 is an abundant number, since it is smaller than the sum of its proper divisors (139908051360).

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

38454726240 is a wasteful number, since it uses less digits than its factorization.

38454726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 38454726240 in words is "thirty-eight billion, four hundred fifty-four million, seven hundred twenty-six thousand, two hundred forty".