3435363563130 has 192 divisors, whose sum is σ = 9137072056320. Its totient is φ = 895254588288.

The previous prime is 3435363563033. The next prime is 3435363563131. The reversal of 3435363563130 is 313653635343.

It is a happy number.

3435363563130 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 3 + 6 + 3 + 5 + 631 + 3 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3435363563131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 992017779 + ... + 992021241.

It is an arithmetic number, because the mean of its divisors is an integer number (47588916960).

Almost surely, 2^{3435363563130} is an apocalyptic number.

3435363563130 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 3435363563130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4568536028160).

3435363563130 is an abundant number, since it is smaller than the sum of its proper divisors (5701708493190).

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

3435363563130 is a wasteful number, since it uses less digits than its factorization.

3435363563130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 45.

The spelling of 3435363563130 in words is "three trillion, four hundred thirty-five billion, three hundred sixty-three million, five hundred sixty-three thousand, one hundred thirty".