3835375440 has 320 divisors, whose sum is σ = 13670125056. Its totient is φ = 881197056.

The previous prime is 3835375433. The next prime is 3835375471. The reversal of 3835375440 is 445735383.

3835375440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3835375392 and 3835375401.

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, 8857464 + ... + 8857896.

Almost surely, 2^3835375440 is an apocalyptic number.

3835375440 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 3835375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6835062528).

3835375440 is an abundant number, since it is smaller than the sum of its proper divisors (9834749616).

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

3835375440 is a wasteful number, since it uses less digits than its factorization.

3835375440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The square root of 3835375440 is about 61930.4080399928. The cubic root of 3835375440 is about 1565.3181740715.

The spelling of 3835375440 in words is "three billion, eight hundred thirty-five million, three hundred seventy-five thousand, four hundred forty".