35652540 has 96 divisors (see below), whose sum is σ = 124475904. Its totient is φ = 7407360.

The previous prime is 35652499. The next prime is 35652541. The reversal of 35652540 is 4525653.

35652540 = T₁₆₂ + T₁₆₃ + ... + T₆₀₁.

It is a super-3 number, since 3×35652540³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35652498 and 35652507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35652541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762 + ... + 8478.

It is an arithmetic number, because the mean of its divisors is an integer number (1296624).

Almost surely, 2^35652540 is an apocalyptic number.

35652540 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 35652540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62237952).

35652540 is an abundant number, since it is smaller than the sum of its proper divisors (88823364).

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

35652540 is a wasteful number, since it uses less digits than its factorization.

35652540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7745 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 35652540 is about 5970.9747947885. The cubic root of 35652540 is about 329.1269854069.

It can be divided in two parts, 3565 and 2540, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 35652540 in words is "thirty-five million, six hundred fifty-two thousand, five hundred forty".