3225454137840 has 160 divisors (see below), whose sum is σ = 10910080924416. Its totient is φ = 781771898880.

The previous prime is 3225454137827. The next prime is 3225454137853. The reversal of 3225454137840 is 487314545223.

It is an interprime number because it is at equal distance from previous prime (3225454137827) and next prime (3225454137853).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3225454137840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13362864 + ... + 13602096.

Almost surely, 2^{3225454137840} is an apocalyptic number.

3225454137840 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 3225454137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455040462208).

3225454137840 is an abundant number, since it is smaller than the sum of its proper divisors (7684626786576).

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

3225454137840 is a wasteful number, since it uses less digits than its factorization.

3225454137840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244367 (or 244361 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 3225454137840 in words is "three trillion, two hundred twenty-five billion, four hundred fifty-four million, one hundred thirty-seven thousand, eight hundred forty".