3507541180416 has 1360 divisors, whose sum is σ = 13236795278784. Its totient is φ = 900986830848.

The previous prime is 3507541180337. The next prime is 3507541180417. The reversal of 3507541180416 is 6140811457053.

3507541180416 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 54 + 1 + 180 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3507541180417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25602490300 + ... + 25602490436.

Almost surely, 2^{3507541180416} is an apocalyptic number.

3507541180416 is a gapful number since it is divisible by the number (36) 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 3507541180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618397639392).

3507541180416 is an abundant number, since it is smaller than the sum of its proper divisors (9729254098368).

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

3507541180416 is an equidigital number, since it uses as much as digits as its factorization.

3507541180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 3507541180416 in words is "three trillion, five hundred seven billion, five hundred forty-one million, one hundred eighty thousand, four hundred sixteen".