3426426720 has 144 divisors (see below), whose sum is σ = 11707939152. Its totient is φ = 912522240.

The previous prime is 3426426719. The next prime is 3426426727. The reversal of 3426426720 is 276246243.

3426426720 is a `hidden beast` number, since 3 + 4 + 2 + 642 + 6 + 7 + 2 + 0 = 666.

3426426720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426426727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1987779 + ... + 1989501.

It is an arithmetic number, because the mean of its divisors is an integer number (81305133).

Almost surely, 2^3426426720 is an apocalyptic number.

3426426720 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 3426426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853969576).

3426426720 is an abundant number, since it is smaller than the sum of its proper divisors (8281512432).

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

3426426720 is a wasteful number, since it uses less digits than its factorization.

3426426720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3426426720 is about 58535.6875760420. The cubic root of 3426426720 is about 1507.5804004873.

The spelling of 3426426720 in words is "three billion, four hundred twenty-six million, four hundred twenty-six thousand, seven hundred twenty".