38248151040 has 576 divisors, whose sum is σ = 149713855200. Its totient is φ = 8945664000.

The previous prime is 38248151027. The next prime is 38248151083. The reversal of 38248151040 is 4015184283.

38248151040 is a `hidden beast` number, since 3 + 8 + 24 + 81 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38248150986 and 38248151004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29398390 + ... + 29399690.

Almost surely, 2^38248151040 is an apocalyptic number.

38248151040 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 38248151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74856927600).

38248151040 is an abundant number, since it is smaller than the sum of its proper divisors (111465704160).

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

38248151040 is a wasteful number, since it uses less digits than its factorization.

38248151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 38248151040 in words is "thirty-eight billion, two hundred forty-eight million, one hundred fifty-one thousand, forty".