3724554240 has 468 divisors, whose sum is σ = 14275536912. Its totient is φ = 897515520.

The previous prime is 3724554233. The next prime is 3724554257. The reversal of 3724554240 is 424554273.

3724554240 is a `hidden beast` number, since 3 + 72 + 4 + 5 + 542 + 40 = 666.

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 = 3724554195 and 3724554204.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22302637 + ... + 22302803.

It is an arithmetic number, because the mean of its divisors is an integer number (30503284).

Almost surely, 2^3724554240 is an apocalyptic number.

3724554240 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 3724554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137768456).

3724554240 is an abundant number, since it is smaller than the sum of its proper divisors (10550982672).

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

3724554240 is a wasteful number, since it uses less digits than its factorization.

3724554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 3724554240 is about 61029.1261612027. The cubic root of 3724554240 is about 1550.0942349922.

The spelling of 3724554240 in words is "three billion, seven hundred twenty-four million, five hundred fifty-four thousand, two hundred forty".