3963479040 has 440 divisors, whose sum is σ = 14980109760. Its totient is φ = 999309312.

The previous prime is 3963478999. The next prime is 3963479057. The reversal of 3963479040 is 409743693.

3963479040 is a `hidden beast` number, since 3 + 9 + 634 + 7 + 9 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×3963479040² = 31418332201038643200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7879429 + ... + 7879931.

It is an arithmetic number, because the mean of its divisors is an integer number (34045704).

Almost surely, 2^3963479040 is an apocalyptic number.

3963479040 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 3963479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490054880).

3963479040 is an abundant number, since it is smaller than the sum of its proper divisors (11016630720).

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

3963479040 is a wasteful number, since it uses less digits than its factorization.

3963479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3963479040 is about 62956.1676089007. The cubic root of 3963479040 is about 1582.5551563175. Note that the first 3 decimals are identical.

The spelling of 3963479040 in words is "three billion, nine hundred sixty-three million, four hundred seventy-nine thousand, forty".