3460787195040 has 960 divisors, whose sum is σ = 14707724967936. Its totient is φ = 749251565568.

The previous prime is 3460787195023. The next prime is 3460787195057. The reversal of 3460787195040 is 405917870643.

3460787195040 is a `hidden beast` number, since 3 + 4 + 60 + 7 + 8 + 71 + 9 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3460787195023) and next prime (3460787195057).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 159 ways as a sum of consecutive naturals, for example, 214907629 + ... + 214923731.

Almost surely, 2^{3460787195040} is an apocalyptic number.

3460787195040 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 3460787195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353862483968).

3460787195040 is an abundant number, since it is smaller than the sum of its proper divisors (11246937772896).

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

3460787195040 is a wasteful number, since it uses less digits than its factorization.

3460787195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16263 (or 16246 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3460787195040 in words is "three trillion, four hundred sixty billion, seven hundred eighty-seven million, one hundred ninety-five thousand, forty".