38744653147200 has 3360 divisors, whose sum is σ = 193173876580608. Its totient is φ = 7355473920000.

The previous prime is 38744653147153. The next prime is 38744653147217. The reversal of 38744653147200 is 274135644783.

38744653147200 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 46 + 531 + 47 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×38744653147200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13102688122 + ... + 13102691078.

Almost surely, 2^{38744653147200} is an apocalyptic number.

38744653147200 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 38744653147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96586938290304).

38744653147200 is an abundant number, since it is smaller than the sum of its proper divisors (154429223433408).

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

38744653147200 is a wasteful number, since it uses less digits than its factorization.

38744653147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 38744653147200 in words is "thirty-eight trillion, seven hundred forty-four billion, six hundred fifty-three million, one hundred forty-seven thousand, two hundred".