3435466919040 has 640 divisors, whose sum is σ = 13301479422000. Its totient is φ = 839953317888.

The previous prime is 3435466919033. The next prime is 3435466919099. The reversal of 3435466919040 is 409196645343.

It is a happy number.

3435466919040 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 466 + 91 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 831787776576 + 2603679142464 = 912024^2 + 1613592^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100396974 + ... + 100431186.

Almost surely, 2^{3435466919040} is an apocalyptic number.

3435466919040 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 3435466919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650739711000).

3435466919040 is an abundant number, since it is smaller than the sum of its proper divisors (9866012502960).

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

3435466919040 is a wasteful number, since it uses less digits than its factorization.

3435466919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34406 (or 34385 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3435466919040 in words is "three trillion, four hundred thirty-five billion, four hundred sixty-six million, nine hundred nineteen thousand, forty".