38276797440000 has 2240 divisors, whose sum is σ = 158248443488256. Its totient is φ = 8026324992000.

The previous prime is 38276797439977. The next prime is 38276797440097. The reversal of 38276797440000 is 4479767283.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×38276797440000² (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 159 ways as a sum of consecutive naturals, for example, 78597119757 + ... + 78597120243.

Almost surely, 2^{38276797440000} is an apocalyptic number.

38276797440000 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 38276797440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79124221744128).

38276797440000 is an abundant number, since it is smaller than the sum of its proper divisors (119971646048256).

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

38276797440000 is an equidigital number, since it uses as much as digits as its factorization.

38276797440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 57.

The spelling of 38276797440000 in words is "thirty-eight trillion, two hundred seventy-six billion, seven hundred ninety-seven million, four hundred forty thousand".