38287264813200 has 1080 divisors, whose sum is σ = 152005397281920. Its totient is φ = 8905771929600.

The previous prime is 38287264813163. The next prime is 38287264813241. The reversal of 38287264813200 is 231846278283.

38287264813200 is a `hidden beast` number, since 3 + 8 + 287 + 264 + 81 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×38287264813200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 829226115 + ... + 829272285.

It is an arithmetic number, because the mean of its divisors is an integer number (140745738224).

Almost surely, 2^{38287264813200} is an apocalyptic number.

38287264813200 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 38287264813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76002698640960).

38287264813200 is an abundant number, since it is smaller than the sum of its proper divisors (113718132468720).

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

38287264813200 is a wasteful number, since it uses less digits than its factorization.

38287264813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46297 (or 46270 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 38287264813200 in words is "thirty-eight trillion, two hundred eighty-seven billion, two hundred sixty-four million, eight hundred thirteen thousand, two hundred".