3478374900 has 972 divisors, whose sum is σ = 15379911456. Its totient is φ = 667180800.

The previous prime is 3478374899. The next prime is 3478374901. The reversal of 3478374900 is 94738743.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3478374899) and next prime (3478374901).

It is a tau number, because it is divible by the number of its divisors (972).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3478374901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 267567294 + ... + 267567306.

Almost surely, 2^3478374900 is an apocalyptic number.

3478374900 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 3478374900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689955728).

3478374900 is an abundant number, since it is smaller than the sum of its proper divisors (11901536556).

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

3478374900 is a wasteful number, since it uses less digits than its factorization.

3478374900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

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

The square root of 3478374900 is about 58977.7491940817. The cubic root of 3478374900 is about 1515.1610455211.

The spelling of 3478374900 in words is "three billion, four hundred seventy-eight million, three hundred seventy-four thousand, nine hundred".