3957144450 has 144 divisors (see below), whose sum is σ = 11725303104. Its totient is φ = 879984000.

The previous prime is 3957144431. The next prime is 3957144463. The reversal of 3957144450 is 544417593.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264675 + ... + 279225.

It is an arithmetic number, because the mean of its divisors is an integer number (81425716).

Almost surely, 2^3957144450 is an apocalyptic number.

3957144450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957144450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862651552).

3957144450 is an abundant number, since it is smaller than the sum of its proper divisors (7768158654).

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

3957144450 is a wasteful number, since it uses less digits than its factorization.

3957144450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14617 (or 14605 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 3957144450 is about 62905.8379643734. The cubic root of 3957144450 is about 1581.7116058734.

The spelling of 3957144450 in words is "three billion, nine hundred fifty-seven million, one hundred forty-four thousand, four hundred fifty".