3953478128880 has 960 divisors, whose sum is σ = 14999672959488. Its totient is φ = 857945088000.

The previous prime is 3953478128869. The next prime is 3953478128891. The reversal of 3953478128880 is 888218743593.

It is an interprime number because it is at equal distance from previous prime (3953478128869) and next prime (3953478128891).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5788401019 + ... + 5788401701.

Almost surely, 2^{3953478128880} is an apocalyptic number.

3953478128880 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 3953478128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499836479744).

3953478128880 is an abundant number, since it is smaller than the sum of its proper divisors (11046194830608).

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

3953478128880 is a wasteful number, since it uses less digits than its factorization.

3953478128880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 3953478128880 in words is "three trillion, nine hundred fifty-three billion, four hundred seventy-eight million, one hundred twenty-eight thousand, eight hundred eighty".