3903943680 has 1056 divisors, whose sum is σ = 17882592000. Its totient is φ = 780337152.

The previous prime is 3903943651. The next prime is 3903943691. The reversal of 3903943680 is 863493093.

It is a super-2 number, since 2×3903943680² = 30481552513223884800, which contains 22 as substring.

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

It is a congruent number.

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, 205470711 + ... + 205470729.

Almost surely, 2^3903943680 is an apocalyptic number.

3903943680 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 3903943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8941296000).

3903943680 is an abundant number, since it is smaller than the sum of its proper divisors (13978648320).

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

3903943680 is a wasteful number, since it uses less digits than its factorization.

3903943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3903943680 is about 62481.5467158104. The cubic root of 3903943680 is about 1574.5913013629.

The spelling of 3903943680 in words is "three billion, nine hundred three million, nine hundred forty-three thousand, six hundred eighty".