3932374249440 has 5376 divisors, whose sum is σ = 20256577044480. Its totient is φ = 696570347520.

The previous prime is 3932374249381. The next prime is 3932374249451. The reversal of 3932374249440 is 449424732393.

It is a happy number.

3932374249440 is a `hidden beast` number, since 3 + 9 + 323 + 74 + 249 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 106280385102 + ... + 106280385138.

It is an arithmetic number, because the mean of its divisors is an integer number (3767964480).

Almost surely, 2^{3932374249440} is an apocalyptic number.

3932374249440 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 3932374249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10128288522240).

3932374249440 is an abundant number, since it is smaller than the sum of its proper divisors (16324202795040).

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

3932374249440 is a wasteful number, since it uses less digits than its factorization.

3932374249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

It can be divided in two parts, 3932374 and 249440, that added together give a palindrome (4181814).

The spelling of 3932374249440 in words is "three trillion, nine hundred thirty-two billion, three hundred seventy-four million, two hundred forty-nine thousand, four hundred forty".