3870426240 has 384 divisors, whose sum is σ = 14221509120. Its totient is φ = 1005281280.

The previous prime is 3870426239. The next prime is 3870426251. The reversal of 3870426240 is 426240783.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 3870426195 and 3870426204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6376017 + ... + 6376623.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^3870426240 is an apocalyptic number.

3870426240 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 3870426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).

3870426240 is an abundant number, since it is smaller than the sum of its proper divisors (10351082880).

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

3870426240 is an equidigital number, since it uses as much as digits as its factorization.

3870426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3870426240 is about 62212.7498186666. The cubic root of 3870426240 is about 1570.0721077947.

The spelling of 3870426240 in words is "three billion, eight hundred seventy million, four hundred twenty-six thousand, two hundred forty".