3537135000 has 640 divisors, whose sum is σ = 14845248000. Its totient is φ = 762048000.

The previous prime is 3537134963. The next prime is 3537135001. The reversal of 3537135000 is 5317353.

3537135000 = 70² + 71² + ... + 2197².

It is a super-2 number, since 2×3537135000² = 25022648016450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3537135001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17954902 + ... + 17955098.

It is an arithmetic number, because the mean of its divisors is an integer number (23195700).

Almost surely, 2^3537135000 is an apocalyptic number.

3537135000 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 3537135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7422624000).

3537135000 is an abundant number, since it is smaller than the sum of its proper divisors (11308113000).

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

3537135000 is a wasteful number, since it uses less digits than its factorization.

3537135000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 27.

The square root of 3537135000 is about 59473.8177688300. The cubic root of 3537135000 is about 1523.6453077469.

The spelling of 3537135000 in words is "three billion, five hundred thirty-seven million, one hundred thirty-five thousand".