34772951040 has 224 divisors, whose sum is σ = 113871548736. Its totient is φ = 9055764480.

The previous prime is 34772951029. The next prime is 34772951063. The reversal of 34772951040 is 4015927743.

It is a junction number, because it is equal to n+sod(n) for n = 34772950983 and 34772951001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5280550 + ... + 5287130.

Almost surely, 2^34772951040 is an apocalyptic number.

34772951040 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 34772951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56935774368).

34772951040 is an abundant number, since it is smaller than the sum of its proper divisors (79098597696).

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

34772951040 is an equidigital number, since it uses as much as digits as its factorization.

34772951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6658 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 34772951040 in words is "thirty-four billion, seven hundred seventy-two million, nine hundred fifty-one thousand, forty".