3400327525140 has 288 divisors, whose sum is σ = 13246494782976. Its totient is φ = 686238981120.

The previous prime is 3400327525129. The next prime is 3400327525141. The reversal of 3400327525140 is 415257230043.

3400327525140 is a `hidden beast` number, since 3 + 40 + 0 + 32 + 75 + 2 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3400327525095 and 3400327525104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400327525141) 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, 4136091 + ... + 4889570.

It is an arithmetic number, because the mean of its divisors is an integer number (45994773552).

Almost surely, 2^{3400327525140} is an apocalyptic number.

3400327525140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400327525140 is an abundant number, since it is smaller than the sum of its proper divisors (9846167257836).

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

3400327525140 is a wasteful number, since it uses less digits than its factorization.

3400327525140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9025719 (or 9025714 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 3400327525140 in words is "three trillion, four hundred billion, three hundred twenty-seven million, five hundred twenty-five thousand, one hundred forty".