3507252000 has 384 divisors, whose sum is σ = 13450364928. Its totient is φ = 782208000.

The previous prime is 3507251987. The next prime is 3507252061. The reversal of 3507252000 is 2527053.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3611515 + ... + 3612485.

It is an arithmetic number, because the mean of its divisors is an integer number (35026992).

Almost surely, 2^3507252000 is an apocalyptic number.

3507252000 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 3507252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725182464).

3507252000 is an abundant number, since it is smaller than the sum of its proper divisors (9943112928).

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

3507252000 is a wasteful number, since it uses less digits than its factorization.

3507252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 3507252000 is about 59222.0567018742. The cubic root of 3507252000 is about 1519.3423979045.

Adding to 3507252000 its reverse (2527053), we get a palindrome (3509779053).

The spelling of 3507252000 in words is "three billion, five hundred seven million, two hundred fifty-two thousand".