34628487840 has 144 divisors (see below), whose sum is σ = 119388440808. Its totient is φ = 9139027968.

The previous prime is 34628487827. The next prime is 34628487847. The reversal of 34628487840 is 4878482643.

It is a happy number.

34628487840 is a `hidden beast` number, since 3 + 4 + 628 + 4 + 8 + 7 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18163491984 + 16464995856 = 134772^2 + 128316^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34628487847) 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, 15724 + ... + 263636.

Almost surely, 2^34628487840 is an apocalyptic number.

34628487840 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 34628487840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59694220404).

34628487840 is an abundant number, since it is smaller than the sum of its proper divisors (84759952968).

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

34628487840 is a wasteful number, since it uses less digits than its factorization.

34628487840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248031 (or 248020 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 34628487840 in words is "thirty-four billion, six hundred twenty-eight million, four hundred eighty-seven thousand, eight hundred forty".