3537401760000 has 1440 divisors, whose sum is σ = 13976486092800. Its totient is φ = 879621120000.

The previous prime is 3537401759977. The next prime is 3537401760037. The reversal of 3537401760000 is 671047353.

3537401760000 is a `hidden beast` number, since 3 + 5 + 3 + 7 + 40 + 1 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3537401760000² (a number of 26 digits) contains 22 as substring.

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

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 159 ways as a sum of consecutive naturals, for example, 5827679697 + ... + 5827680303.

It is an arithmetic number, because the mean of its divisors is an integer number (9705893120).

Almost surely, 2^{3537401760000} is an apocalyptic number.

3537401760000 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 3537401760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988243046400).

3537401760000 is an abundant number, since it is smaller than the sum of its proper divisors (10439084332800).

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

3537401760000 is an equidigital number, since it uses as much as digits as its factorization.

3537401760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 3537401760000 in words is "three trillion, five hundred thirty-seven billion, four hundred one million, seven hundred sixty thousand".