3537351720 has 192 divisors, whose sum is σ = 13562864640. Its totient is φ = 782438400.

The previous prime is 3537351709. The next prime is 3537351757. The reversal of 3537351720 is 271537353.

3537351720 is a `hidden beast` number, since 3 + 53 + 73 + 517 + 20 = 666.

3537351720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55480 + ... + 100760.

It is an arithmetic number, because the mean of its divisors is an integer number (70639920).

Almost surely, 2^3537351720 is an apocalyptic number.

3537351720 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 3537351720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781432320).

3537351720 is an abundant number, since it is smaller than the sum of its proper divisors (10025512920).

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

3537351720 is a wasteful number, since it uses less digits than its factorization.

3537351720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45336 (or 45329 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The square root of 3537351720 is about 59475.6397191321. The cubic root of 3537351720 is about 1523.6764249899.

The spelling of 3537351720 in words is "three billion, five hundred thirty-seven million, three hundred fifty-one thousand, seven hundred twenty".