3953389440 has 1024 divisors, whose sum is σ = 18062714880. Its totient is φ = 713687040.

The previous prime is 3953389367. The next prime is 3953389469. The reversal of 3953389440 is 449833593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3953389440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232552312 + ... + 232552328.

It is an arithmetic number, because the mean of its divisors is an integer number (17639370).

Almost surely, 2^3953389440 is an apocalyptic number.

3953389440 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 3953389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9031357440).

3953389440 is an abundant number, since it is smaller than the sum of its proper divisors (14109325440).

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

3953389440 is a wasteful number, since it uses less digits than its factorization.

3953389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The square root of 3953389440 is about 62875.9846046167. The cubic root of 3953389440 is about 1581.2111420823.

It can be divided in two parts, 3953 and 389440, that added together give a palindrome (393393).

The spelling of 3953389440 in words is "three billion, nine hundred fifty-three million, three hundred eighty-nine thousand, four hundred forty".