3920970240 has 560 divisors, whose sum is σ = 15457153536. Its totient is φ = 945561600.

The previous prime is 3920970227. The next prime is 3920970307. The reversal of 3920970240 is 420790293.

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 = 3920970195 and 3920970204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20528545 + ... + 20528735.

Almost surely, 2^3920970240 is an apocalyptic number.

3920970240 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 3920970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728576768).

3920970240 is an abundant number, since it is smaller than the sum of its proper divisors (11536183296).

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

3920970240 is an equidigital number, since it uses as much as digits as its factorization.

3920970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3920970240 is about 62617.6511855882. The cubic root of 3920970240 is about 1576.8771088832.

The spelling of 3920970240 in words is "three billion, nine hundred twenty million, nine hundred seventy thousand, two hundred forty".