3838674240 has 560 divisors, whose sum is σ = 14657905152. Its totient is φ = 951312384.

The previous prime is 3838674223. The next prime is 3838674247. The reversal of 3838674240 is 424768383.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838674247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28019452 + ... + 28019588.

Almost surely, 2^3838674240 is an apocalyptic number.

3838674240 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 3838674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328952576).

3838674240 is an abundant number, since it is smaller than the sum of its proper divisors (10819230912).

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

3838674240 is a wasteful number, since it uses less digits than its factorization.

3838674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3838674240 is about 61957.0354358567. The cubic root of 3838674240 is about 1565.7668213168.

The spelling of 3838674240 in words is "three billion, eight hundred thirty-eight million, six hundred seventy-four thousand, two hundred forty".