3535407720 has 384 divisors, whose sum is σ = 13467111840. Its totient is φ = 796262400.

The previous prime is 3535407649. The next prime is 3535407721. The reversal of 3535407720 is 277045353.

It can be written as a sum of positive squares in 16 ways, for example, as 58890276 + 3476517444 = 7674^2 + 58962^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3535407721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2943120 + ... + 2944320.

Almost surely, 2^3535407720 is an apocalyptic number.

3535407720 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 3535407720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733555920).

3535407720 is an abundant number, since it is smaller than the sum of its proper divisors (9931704120).

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

3535407720 is a wasteful number, since it uses less digits than its factorization.

3535407720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 3535407720 is about 59459.2946476831. The cubic root of 3535407720 is about 1523.3972547727.

The spelling of 3535407720 in words is "three billion, five hundred thirty-five million, four hundred seven thousand, seven hundred twenty".