3960403920 has 240 divisors, whose sum is σ = 14656097664. Its totient is φ = 950400000.

The previous prime is 3960403913. The next prime is 3960403933. The reversal of 3960403920 is 293040693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797445 + ... + 802395.

Almost surely, 2^3960403920 is an apocalyptic number.

3960403920 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 3960403920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328048832).

3960403920 is an abundant number, since it is smaller than the sum of its proper divisors (10695693744).

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

3960403920 is a wasteful number, since it uses less digits than its factorization.

3960403920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3960403920 is about 62931.7401634501. The cubic root of 3960403920 is about 1582.1457679915.

The spelling of 3960403920 in words is "three billion, nine hundred sixty million, four hundred three thousand, nine hundred twenty".