3743418240 has 160 divisors (see below), whose sum is σ = 13368607560. Its totient is φ = 998231040.

The previous prime is 3743418221. The next prime is 3743418347. The reversal of 3743418240 is 428143473.

3743418240 is a `hidden beast` number, since 3 + 7 + 434 + 182 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 3743418195 and 3743418204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15735 + ... + 87945.

Almost surely, 2^3743418240 is an apocalyptic number.

3743418240 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 3743418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684303780).

3743418240 is an abundant number, since it is smaller than the sum of its proper divisors (9625189320).

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

3743418240 is an equidigital number, since it uses as much as digits as its factorization.

3743418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72242 (or 72221 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3743418240 is about 61183.4801233143. The cubic root of 3743418240 is about 1552.7067847505.

The spelling of 3743418240 in words is "three billion, seven hundred forty-three million, four hundred eighteen thousand, two hundred forty".