3838443840 has 672 divisors, whose sum is σ = 17345802240. Its totient is φ = 754790400.

The previous prime is 3838443811. The next prime is 3838443883. The reversal of 3838443840 is 483448383.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3838443840² = 29467302225667891200, which contains 22 as substring.

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

It is a congruent number.

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, 4212985 + ... + 4213895.

Almost surely, 2^3838443840 is an apocalyptic number.

3838443840 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 3838443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8672901120).

3838443840 is an abundant number, since it is smaller than the sum of its proper divisors (13507358400).

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

3838443840 is a wasteful number, since it uses less digits than its factorization.

3838443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 3838443840 is about 61955.1760549512. The cubic root of 3838443840 is about 1565.7354945383.

The spelling of 3838443840 in words is "three billion, eight hundred thirty-eight million, four hundred forty-three thousand, eight hundred forty".