3537041792130 has 1152 divisors, whose sum is σ = 12635962799616. Its totient is φ = 676292198400.

The previous prime is 3537041792071. The next prime is 3537041792159. The reversal of 3537041792130 is 312971407353.

3537041792130 is a `hidden beast` number, since 3 + 53 + 70 + 417 + 92 + 1 + 30 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 11300452854 + ... + 11300453166.

It is an arithmetic number, because the mean of its divisors is an integer number (10968717708).

Almost surely, 2^{3537041792130} is an apocalyptic number.

3537041792130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3537041792130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317981399808).

3537041792130 is an abundant number, since it is smaller than the sum of its proper divisors (9098921007486).

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

3537041792130 is a wasteful number, since it uses less digits than its factorization.

3537041792130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 3537041792130 in words is "three trillion, five hundred thirty-seven billion, forty-one million, seven hundred ninety-two thousand, one hundred thirty".