34729740 has 72 divisors (see below), whose sum is σ = 107107728. Its totient is φ = 9106560.

The previous prime is 34729711. The next prime is 34729741. The reversal of 34729740 is 4792743.

34729740 = T₅₃ + T₅₄ + ... + T₅₉₂.

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

It is a junction number, because it is equal to n+sod(n) for n = 34729695 and 34729704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34729741) 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, 9399 + ... + 12561.

Almost surely, 2^34729740 is an apocalyptic number.

34729740 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 34729740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53553864).

34729740 is an abundant number, since it is smaller than the sum of its proper divisors (72377988).

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

34729740 is a wasteful number, since it uses less digits than its factorization.

34729740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 34729740 is about 5893.1943799607. The cubic root of 34729740 is about 326.2625132823.

The spelling of 34729740 in words is "thirty-four million, seven hundred twenty-nine thousand, seven hundred forty".