3835262340 has 648 divisors, whose sum is σ = 15309036288. Its totient is φ = 773660160.

The previous prime is 3835262317. The next prime is 3835262359. The reversal of 3835262340 is 432625383.

It is a happy number.

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 a junction number, because it is equal to n+sod(n) for n = 3835262295 and 3835262304.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 46207939 + ... + 46208021.

It is an arithmetic number, because the mean of its divisors is an integer number (23625056).

Almost surely, 2^3835262340 is an apocalyptic number.

3835262340 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 3835262340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7654518144).

3835262340 is an abundant number, since it is smaller than the sum of its proper divisors (11473773948).

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

3835262340 is a wasteful number, since it uses less digits than its factorization.

3835262340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3835262340 is about 61929.4949115524. The cubic root of 3835262340 is about 1565.3027875530.

The spelling of 3835262340 in words is "three billion, eight hundred thirty-five million, two hundred sixty-two thousand, three hundred forty".