3537041184720 has 480 divisors, whose sum is σ = 13056949301760. Its totient is φ = 886787481600.

The previous prime is 3537041184637. The next prime is 3537041184727. The reversal of 3537041184720 is 274811407353.

3537041184720 is a `hidden beast` number, since 3 + 537 + 0 + 4 + 11 + 84 + 7 + 20 = 666.

It is a super-2 number, since 2×3537041184720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537041184727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343363570 + ... + 343373870.

It is an arithmetic number, because the mean of its divisors is an integer number (27201977712).

Almost surely, 2^{3537041184720} is an apocalyptic number.

3537041184720 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 3537041184720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528474650880).

3537041184720 is an abundant number, since it is smaller than the sum of its proper divisors (9519908117040).

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

3537041184720 is a wasteful number, since it uses less digits than its factorization.

3537041184720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11385 (or 11367 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 3537041184720 in words is "three trillion, five hundred thirty-seven billion, forty-one million, one hundred eighty-four thousand, seven hundred twenty".