38200408740 has 288 divisors, whose sum is σ = 126616928256. Its totient is φ = 9266503680.

The previous prime is 38200408733. The next prime is 38200408777. The reversal of 38200408740 is 4780400283.

38200408740 is a `hidden beast` number, since 3 + 8 + 200 + 408 + 7 + 40 = 666.

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 = 38200408695 and 38200408704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56761044 + ... + 56761716.

It is an arithmetic number, because the mean of its divisors is an integer number (439642112).

Almost surely, 2^38200408740 is an apocalyptic number.

38200408740 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 38200408740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63308464128).

38200408740 is an abundant number, since it is smaller than the sum of its proper divisors (88416519516).

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

38200408740 is a wasteful number, since it uses less digits than its factorization.

38200408740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 38200408740 in words is "thirty-eight billion, two hundred million, four hundred eight thousand, seven hundred forty".