3953719485408 has 768 divisors, whose sum is σ = 13925526773760. Its totient is φ = 959262289920.

The previous prime is 3953719485407. The next prime is 3953719485433. The reversal of 3953719485408 is 8045849173593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3953719485407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1240575591 + ... + 1240578777.

It is an arithmetic number, because the mean of its divisors is an integer number (18132196320).

Almost surely, 2^{3953719485408} is an apocalyptic number.

3953719485408 is a gapful number since it is divisible by the number (38) 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 3953719485408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962763386880).

3953719485408 is an abundant number, since it is smaller than the sum of its proper divisors (9971807288352).

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

3953719485408 is a wasteful number, since it uses less digits than its factorization.

3953719485408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 3953719485408 in words is "three trillion, nine hundred fifty-three billion, seven hundred nineteen million, four hundred eighty-five thousand, four hundred eight".