3870397440 has 792 divisors, whose sum is σ = 16830073728. Its totient is φ = 805109760.

The previous prime is 3870397409. The next prime is 3870397457. The reversal of 3870397440 is 447930783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54512605 + ... + 54512675.

Almost surely, 2^3870397440 is an apocalyptic number.

3870397440 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 3870397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8415036864).

3870397440 is an abundant number, since it is smaller than the sum of its proper divisors (12959676288).

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

3870397440 is a wasteful number, since it uses less digits than its factorization.

3870397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3870397440 is about 62212.5183544277. The cubic root of 3870397440 is about 1570.0682134615.

The spelling of 3870397440 in words is "three billion, eight hundred seventy million, three hundred ninety-seven thousand, four hundred forty".