3427392507840 has 1008 divisors, whose sum is σ = 14655833487360. Its totient is φ = 718154035200.

The previous prime is 3427392507793. The next prime is 3427392507841. The reversal of 3427392507840 is 487052937243.

It is a happy number.

3427392507840 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 3 + 92 + 507 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3427392507840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427392507841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 368096785 + ... + 368106095.

Almost surely, 2^{3427392507840} is an apocalyptic number.

3427392507840 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 3427392507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7327916743680).

3427392507840 is an abundant number, since it is smaller than the sum of its proper divisors (11228440979520).

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

3427392507840 is a wasteful number, since it uses less digits than its factorization.

3427392507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9378 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3427392507840 in words is "three trillion, four hundred twenty-seven billion, three hundred ninety-two million, five hundred seven thousand, eight hundred forty".