3953867472000 has 2048 divisors, whose sum is σ = 16253153280000. Its totient is φ = 940584960000.

The previous prime is 3953867471971. The next prime is 3953867472013. The reversal of 3953867472000 is 2747683593.

3953867472000 is a `hidden beast` number, since 3 + 9 + 538 + 67 + 47 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3953867472000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10432367811 + ... + 10432368189.

It is an arithmetic number, because the mean of its divisors is an integer number (7936110000).

Almost surely, 2^{3953867472000} is an apocalyptic number.

3953867472000 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 3953867472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126576640000).

3953867472000 is an abundant number, since it is smaller than the sum of its proper divisors (12299285808000).

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

3953867472000 is a wasteful number, since it uses less digits than its factorization.

3953867472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 3953867472000 in words is "three trillion, nine hundred fifty-three billion, eight hundred sixty-seven million, four hundred seventy-two thousand".