34772693472 has 504 divisors, whose sum is σ = 114881050368. Its totient is φ = 10346434560.

The previous prime is 34772693437. The next prime is 34772693479. The reversal of 34772693472 is 27439627743.

34772693472 is a `hidden beast` number, since 3 + 47 + 72 + 69 + 3 + 472 = 666.

It is a super-2 number, since 2×34772693472² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34772693479) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 273800673 + ... + 273800799.

It is an arithmetic number, because the mean of its divisors is an integer number (227938592).

Almost surely, 2^34772693472 is an apocalyptic number.

34772693472 is a gapful number since it is divisible by the number (32) 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 34772693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57440525184).

34772693472 is an abundant number, since it is smaller than the sum of its proper divisors (80108356896).

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

34772693472 is a wasteful number, since it uses less digits than its factorization.

34772693472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 54.

The spelling of 34772693472 in words is "thirty-four billion, seven hundred seventy-two million, six hundred ninety-three thousand, four hundred seventy-two".