38099903400 has 288 divisors, whose sum is σ = 138289820760. Its totient is φ = 9344747520.

The previous prime is 38099903357. The next prime is 38099903419. The reversal of 38099903400 is 430999083.

It can be written as a sum of positive squares in 12 ways, for example, as 12245192964 + 25854710436 = 110658^2 + 160794^2 .

It is a super-4 number, since 4×38099903400⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6853422 + ... + 6858978.

Almost surely, 2^38099903400 is an apocalyptic number.

38099903400 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 38099903400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69144910380).

38099903400 is an abundant number, since it is smaller than the sum of its proper divisors (100189917360).

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

38099903400 is a wasteful number, since it uses less digits than its factorization.

38099903400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5873 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 38099903400 in words is "thirty-eight billion, ninety-nine million, nine hundred three thousand, four hundred".