34474487040 has 648 divisors, whose sum is σ = 139994847720. Its totient is φ = 7809564672.

The previous prime is 34474487039. The next prime is 34474487063. The reversal of 34474487040 is 4078447443.

34474487040 is a `hidden beast` number, since 34 + 474 + 48 + 70 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199148544 + 34275338496 = 14112^2 + 185136^2 .

It is a super-2 number, since 2×34474487040² (a number of 22 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 88623166 + ... + 88623554.

Almost surely, 2^34474487040 is an apocalyptic number.

34474487040 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 34474487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69997423860).

34474487040 is an abundant number, since it is smaller than the sum of its proper divisors (105520360680).

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

34474487040 is a wasteful number, since it uses less digits than its factorization.

34474487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 34474487040 in words is "thirty-four billion, four hundred seventy-four million, four hundred eighty-seven thousand, forty".