34770486240 has 1152 divisors, whose sum is σ = 151571347200. Its totient is φ = 7225344000.

The previous prime is 34770486221. The next prime is 34770486251. The reversal of 34770486240 is 4268407743.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344262190 + ... + 344262290.

It is an arithmetic number, because the mean of its divisors is an integer number (131572350).

Almost surely, 2^34770486240 is an apocalyptic number.

34770486240 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 34770486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75785673600).

34770486240 is an abundant number, since it is smaller than the sum of its proper divisors (116800860960).

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

34770486240 is a wasteful number, since it uses less digits than its factorization.

34770486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 34770486240 in words is "thirty-four billion, seven hundred seventy million, four hundred eighty-six thousand, two hundred forty".