3960498240 has 280 divisors, whose sum is σ = 14392363392. Its totient is φ = 1033344000.

The previous prime is 3960498233. The next prime is 3960498247. The reversal of 3960498240 is 428940693.

3960498240 is a `hidden beast` number, since 39 + 604 + 9 + 8 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3960498233) and next prime (3960498247).

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

It is not an unprimeable number, because it can be changed into a prime (3960498247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1216615 + ... + 1219865.

Almost surely, 2^3960498240 is an apocalyptic number.

3960498240 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 3960498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196181696).

3960498240 is an abundant number, since it is smaller than the sum of its proper divisors (10431865152).

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

3960498240 is a wasteful number, since it uses less digits than its factorization.

3960498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3960498240 is about 62932.4895423660. The cubic root of 3960498240 is about 1582.1583278892.

The spelling of 3960498240 in words is "three billion, nine hundred sixty million, four hundred ninety-eight thousand, two hundred forty".