3850398720 has 704 divisors, whose sum is σ = 16412682240. Its totient is φ = 836960256.

The previous prime is 3850398707. The next prime is 3850398763. The reversal of 3850398720 is 278930583.

3850398720 is a `hidden beast` number, since 38 + 503 + 98 + 7 + 20 = 666.

It is a super-3 number, since 3×3850398720³ (a number of 30 digits) contains 333 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 63 ways as a sum of consecutive naturals, for example, 22256554 + ... + 22256726.

Almost surely, 2^3850398720 is an apocalyptic number.

3850398720 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 3850398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206341120).

3850398720 is an abundant number, since it is smaller than the sum of its proper divisors (12562283520).

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

3850398720 is a wasteful number, since it uses less digits than its factorization.

3850398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3850398720 is about 62051.5811240938. The cubic root of 3850398720 is about 1567.3593106485.

The spelling of 3850398720 in words is "three billion, eight hundred fifty million, three hundred ninety-eight thousand, seven hundred twenty".