3430653660450 has 72 divisors (see below), whose sum is σ = 9226324763136. Its totient is φ = 913917708000.

The previous prime is 3430653660433. The next prime is 3430653660461. The reversal of 3430653660450 is 540663560343.

3430653660450 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 6 + 5 + 36 + 604 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3430653660396 and 3430653660405.

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 35 ways as a sum of consecutive naturals, for example, 3400506 + ... + 4292405.

It is an arithmetic number, because the mean of its divisors is an integer number (128143399488).

Almost surely, 2^{3430653660450} is an apocalyptic number.

3430653660450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3430653660450 is an abundant number, since it is smaller than the sum of its proper divisors (5795671102686).

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

3430653660450 is a wasteful number, since it uses less digits than its factorization.

3430653660450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7693920 (or 7693912 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 3430653660450 in words is "three trillion, four hundred thirty billion, six hundred fifty-three million, six hundred sixty thousand, four hundred fifty".