3849431040 has 1152 divisors, whose sum is σ = 18030055680. Its totient is φ = 764411904.

The previous prime is 3849431017. The next prime is 3849431077. The reversal of 3849431040 is 401349483.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3849430986 and 3849431004.

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, 226437112 + ... + 226437128.

It is an arithmetic number, because the mean of its divisors is an integer number (15651090).

Almost surely, 2^3849431040 is an apocalyptic number.

3849431040 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 3849431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015027840).

3849431040 is an abundant number, since it is smaller than the sum of its proper divisors (14180624640).

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

3849431040 is a wasteful number, since it uses less digits than its factorization.

3849431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3849431040 is about 62043.7832502177. The cubic root of 3849431040 is about 1567.2279970327.

The spelling of 3849431040 in words is "three billion, eight hundred forty-nine million, four hundred thirty-one thousand, forty".