3494952000 has 168 divisors, whose sum is σ = 12502283352. Its totient is φ = 931968000.

The previous prime is 3494951939. The next prime is 3494952011. The reversal of 3494952000 is 2594943.

It can be written as a sum of positive squares in 4 ways, for example, as 937829376 + 2557122624 = 30624^2 + 50568^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47730 + ... + 96270.

Almost surely, 2^3494952000 is an apocalyptic number.

3494952000 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 3494952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251141676).

3494952000 is an abundant number, since it is smaller than the sum of its proper divisors (9007331352).

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

3494952000 is a wasteful number, since it uses less digits than its factorization.

3494952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48574 (or 48551 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3494952000 is about 59118.1190499157. The cubic root of 3494952000 is about 1517.5641965809.

The spelling of 3494952000 in words is "three billion, four hundred ninety-four million, nine hundred fifty-two thousand".