38933780400 has 720 divisors, whose sum is σ = 146145312768. Its totient is φ = 9580032000.

The previous prime is 38933780383. The next prime is 38933780401. The reversal of 38933780400 is 408733983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (38933780401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 306565137 + ... + 306565263.

Almost surely, 2^38933780400 is an apocalyptic number.

38933780400 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 38933780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73072656384).

38933780400 is an abundant number, since it is smaller than the sum of its proper divisors (107211532368).

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

38933780400 is a wasteful number, since it uses less digits than its factorization.

38933780400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38933780400 in words is "thirty-eight billion, nine hundred thirty-three million, seven hundred eighty thousand, four hundred".