3948904960 has 640 divisors, whose sum is σ = 13463138304. Its totient is φ = 1070530560.

The previous prime is 3948904933. The next prime is 3948905021. The reversal of 3948904960 is 694098493.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3948904960² = 31187700766225203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 3948904898 and 3948904907.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58938847 + ... + 58938913.

Almost surely, 2^3948904960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3948904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731569152).

3948904960 is an abundant number, since it is smaller than the sum of its proper divisors (9514233344).

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

3948904960 is a wasteful number, since it uses less digits than its factorization.

3948904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The square root of 3948904960 is about 62840.3131755404. The cubic root of 3948904960 is about 1580.6130398965.

The spelling of 3948904960 in words is "three billion, nine hundred forty-eight million, nine hundred four thousand, nine hundred sixty".