3741393240 has 384 divisors, whose sum is σ = 14061902400. Its totient is φ = 888330240.

The previous prime is 3741393221. The next prime is 3741393251. The reversal of 3741393240 is 423931473.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3741393195 and 3741393204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3663930 + ... + 3664950.

Almost surely, 2^3741393240 is an apocalyptic number.

3741393240 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 3741393240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030951200).

3741393240 is an abundant number, since it is smaller than the sum of its proper divisors (10320509160).

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

3741393240 is a wasteful number, since it uses less digits than its factorization.

3741393240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3741393240 is about 61166.9293000719. The cubic root of 3741393240 is about 1552.4267556287.

The spelling of 3741393240 in words is "three billion, seven hundred forty-one million, three hundred ninety-three thousand, two hundred forty".