3513862455040 has 288 divisors, whose sum is σ = 10058662010880. Its totient is φ = 1149934190592.

The previous prime is 3513862455031. The next prime is 3513862455049. The reversal of 3513862455040 is 405542683153.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3513862455031) and next prime (3513862455049).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3513862455049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98694522 + ... + 98730118.

It is an arithmetic number, because the mean of its divisors is an integer number (34925909760).

Almost surely, 2^{3513862455040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3513862455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029331005440).

3513862455040 is an abundant number, since it is smaller than the sum of its proper divisors (6544799555840).

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

3513862455040 is a wasteful number, since it uses less digits than its factorization.

3513862455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36127 (or 36113 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 3513862455040 in words is "three trillion, five hundred thirteen billion, eight hundred sixty-two million, four hundred fifty-five thousand, forty".