3201256377040 has 80 divisors (see below), whose sum is σ = 7514111365200. Its totient is φ = 1268263858176.

The previous prime is 3201256377037. The next prime is 3201256377073. The reversal of 3201256377040 is 407736521023.

It can be written as a sum of positive squares in 8 ways, for example, as 504474949696 + 2696781427344 = 710264^2 + 1642188^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3201256376984 and 3201256377002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22890046 + ... + 23029474.

It is an arithmetic number, because the mean of its divisors is an integer number (93926392065).

Almost surely, 2^{3201256377040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201256377040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757055682600).

3201256377040 is an abundant number, since it is smaller than the sum of its proper divisors (4312854988160).

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

3201256377040 is a wasteful number, since it uses less digits than its factorization.

3201256377040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142184 (or 142178 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 3201256377040 in words is "three trillion, two hundred one billion, two hundred fifty-six million, three hundred seventy-seven thousand, forty".